382546120 has 128 divisors (see below), whose sum is σ = 992010240. Its totient is φ = 131408640.

The previous prime is 382546111. The next prime is 382546127. The reversal of 382546120 is 21645283.

It is not an unprimeable number, because it can be changed into a prime (382546127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1042177 + ... + 1042543.

It is an arithmetic number, because the mean of its divisors is an integer number (7750080).

Almost surely, 2^382546120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382546120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496005120).

382546120 is an abundant number, since it is smaller than the sum of its proper divisors (609464120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

382546120 is a wasteful number, since it uses less digits than its factorization.

382546120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 382546120 is about 19558.7862609110. The cubic root of 382546120 is about 725.9297591837.

The spelling of 382546120 in words is "three hundred eighty-two million, five hundred forty-six thousand, one hundred twenty".